The following is the graph of a cost function, C(g), where q is the number of items produced and C(g) is the total cost of producing all q items: Cost Function C(q) 500 C(q) 400 300 200 100 10 20 30 40 50 a) Find the equation of C(g) b) Find the equation of the marginal cost function and graph. Label your axes and any key points. c) Find C"(5). Interpret your result. d) Find the exact cost of producing the 6th item.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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The following is the graph of a cost function, C(g), where q is the number of
items produced and C(g) is the total cost of producing all q items:
Cost Function C(q)
500
C(4)
400
300
200
100
10 20
30
40 50
a) Find the equation of C(g)
b) Find the equation of the marginal cost function and graph. Label your
axes and any key points.
c) Find C'(5). Interpret your result.
d) Find the exact cost of producing the 6th item.
Transcribed Image Text:The following is the graph of a cost function, C(g), where q is the number of items produced and C(g) is the total cost of producing all q items: Cost Function C(q) 500 C(4) 400 300 200 100 10 20 30 40 50 a) Find the equation of C(g) b) Find the equation of the marginal cost function and graph. Label your axes and any key points. c) Find C'(5). Interpret your result. d) Find the exact cost of producing the 6th item.
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